02395nam 2200577 450 991079400300332120201010083550.01-4704-6146-3(CKB)4100000011309202(MiAaPQ)EBC6229935(RPAM)21601799(PPN)250767678(EXLCZ)99410000001130920220201010d2020 uy 0engurcnu||||||||txtrdacontentcrdamediacrrdacarrierThe mother body phase transition in the normal matrix model /Pavel M. Bleher, Guilherme L. F. SilvaProvidence, Rhode Island :American Mathematical Society,2020.1 online resource (156 pages)Memoirs of the American Mathematical Society ;Number 1289"May 2020, volume 265, number 1289 (sixth of 7 numbers)."1-4704-4184-5 Includes bibliographical references.Statement of main results -- Limiting boundary of eigenvalues. Proofs of propositions 2.1 and 2.7 and theorems 2.2, 2.5 and 2.8 -- Geometry of the spectral curve. Proof of theorem 2.6 -- Meromorphic quadratic differential on R -- Proofs of theorems 2.3, 2.4, 2.9 and 2.10 -- Riemann-Hilbert analysis in the three-cut case -- Riemann-Hilbert analysis in the one-cut case -- Construction of the global parametrix -- Proofs of theorems 2.14 and 2.15.Memoirs of the American Mathematical Society ;Number 1289.MatricesNormsRandom matricesPhase transformations (Statistical physics)Functions, MeromorphicRiemann-Hilbert problemsIntegral transformsMatricesNorms.Random matrices.Phase transformations (Statistical physics)Functions, Meromorphic.Riemann-Hilbert problems.Integral transforms.512.9/43460B2030C9930Exx30F3031A1544A60mscBleher Pavel1947-1478640Silva Guilherme L. F.MiAaPQMiAaPQMiAaPQBOOK9910794003003321The mother body phase transition in the normal matrix model3694403UNINA